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Simplifying (-2x + -1yi) + (y + 2xi) = 1 + -1i Reorder the terms: (-1iy + -2x) + (y + 2xi) = 1 + -1i Remove parenthesis around (-1iy + -2x) -1iy + -2x + (y + 2xi) = 1 + -1i Reorder the terms: -1iy + -2x + (2ix + y) = 1 + -1i Remove parenthesis around (2ix + y) -1iy + -2x + 2ix + y = 1 + -1i Reorder the terms: 2ix + -1iy + -2x + y = 1 + -1i Solving 2ix + -1iy + -2x + y = 1 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 2ix + -1iy + -2x + i + y = 1 + -1i + i Reorder the terms: i + 2ix + -1iy + -2x + y = 1 + -1i + i Combine like terms: -1i + i = 0 i + 2ix + -1iy + -2x + y = 1 + 0 i + 2ix + -1iy + -2x + y = 1 Add '2x' to each side of the equation. i + 2ix + -1iy + -2x + 2x + y = 1 + 2x Combine like terms: -2x + 2x = 0 i + 2ix + -1iy + 0 + y = 1 + 2x i + 2ix + -1iy + y = 1 + 2x Add '-1y' to each side of the equation. i + 2ix + -1iy + y + -1y = 1 + 2x + -1y Combine like terms: y + -1y = 0 i + 2ix + -1iy + 0 = 1 + 2x + -1y i + 2ix + -1iy = 1 + 2x + -1y Reorder the terms: -1 + i + 2ix + -1iy + -2x + y = 1 + 2x + -1y + -1 + -2x + y Reorder the terms: -1 + i + 2ix + -1iy + -2x + y = 1 + -1 + 2x + -2x + -1y + y Combine like terms: 1 + -1 = 0 -1 + i + 2ix + -1iy + -2x + y = 0 + 2x + -2x + -1y + y -1 + i + 2ix + -1iy + -2x + y = 2x + -2x + -1y + y Combine like terms: 2x + -2x = 0 -1 + i + 2ix + -1iy + -2x + y = 0 + -1y + y -1 + i + 2ix + -1iy + -2x + y = -1y + y Combine like terms: -1y + y = 0 -1 + i + 2ix + -1iy + -2x + y = 0 The solution to this equation could not be determined.
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